Answer:
Kim will need to spend 67 minutes on her sixth ride
Step-by-step explanation:
Represent the number of minutes of her sixth ride by m.
Then the average number of minutes is
53 + 43 + 56 + 54 + 45 + m
---------------------------------------- = 53
6
Multiplying both sides of this equation by 6 yields
6(53 + 43 + 56 + 54 + 45 + m)
--------------------------------------------- = 6(53)
6
which simplifies to
251 + m
---------------- = 318
or 251 + m = 318. Subtract 251 from both sides to obtain the value of m:
m = 318 - 251 = 67
Kim will need to spend 67 minutes on her sixth ride to attain an average ride length of 53 minutes.i
First, we define variables:
x: small hat
y: medium hat
z: large hat
We now write the system of equations:
x + y + z = 47
5.50x + 6y + 7z = 302
-3x + y = 0
We can write the system in matrix form as:
Ax = b
Where,
A = [1 1 1; 5.50 6 7; -3 1 0]
b = [47; 302; 0]
x = [x; y ; z]
Solving the system we have:
x = 6
y = 18
z = 23
Answer:
the coach did purchase 23 large hats
d. 23
Answer:
Formulas for a rectangular prism:
Volume of Rectangular Prism: V = lwh.
Surface Area of Rectangular Prism: S = 2(lw + lh + wh)
Space Diagonal of Rectangular Prism: (similar to the distance between 2 points) d = √(l2 + w2 + h2)
Step-by-step explanation:
Hope it helps :))))
Okay, move the decimal behind the 8. There are 4 places before the decimal so it is nagitive. If there are places Infront of the decimal is nagitive. So the answer is 8.235×10-4
Answer:
1/2
Step-by-step explanation:
5/10=1/2